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Journal of Nonlinear Mathematical Physics Volume 19, 2012 - Issue 3
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Articles

GEOMETRY OF THE RECURSION OPERATORS FOR THE GMV SYSTEM

A. B. YANOVSKI Department of Mathematics & Applied Mathematics, University of Cape Town, Rondebosch, Cape Town 7700, South Africa
&
G. VILASI Dipartimento di Fisica, Università degli Studi di Salerno, INFN, Sezione di Napoli-GC Salerno, Via Ponte Don Melillo, Fisciano (Salerno) 84084, Italy
Pages 373-390 | Published online: 04 Mar 2013
 
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Abstract

We consider the Recursion Operator approach to the soliton equations related to a auxiliary linear system introduced recently by Gerdjikov, Mikhailov and Valchev (GMV system) and their interpretation as dual of Nijenhuis tensors on the manifold of potentials.

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